Information on Result #678448

Linear OA(4179, 262187, F4, 26) (dual of [262187, 262008, 27]-code), using construction X applied to Ce(25) ⊂ Ce(20) based on
  1. linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4180, 262188, F4, 26) (dual of [262188, 262008, 27]-code) [i]Code Embedding in Larger Space
2Linear OA(4181, 262189, F4, 26) (dual of [262189, 262008, 27]-code) [i]
3Linear OA(4182, 262190, F4, 26) (dual of [262190, 262008, 27]-code) [i]
4Linear OA(4183, 262191, F4, 26) (dual of [262191, 262008, 27]-code) [i]
5Linear OA(4184, 262192, F4, 26) (dual of [262192, 262008, 27]-code) [i]
6Linear OA(4183, 262192, F4, 26) (dual of [262192, 262009, 27]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OA(4184, 262194, F4, 26) (dual of [262194, 262010, 27]-code) [i]
8Linear OOA(4179, 131093, F4, 2, 26) (dual of [(131093, 2), 262007, 27]-NRT-code) [i]OOA Folding
9Linear OOA(4179, 87395, F4, 3, 26) (dual of [(87395, 3), 262006, 27]-NRT-code) [i]
10Linear OOA(4179, 20168, F4, 26, 26) (dual of [(20168, 26), 524189, 27]-NRT-code) [i]OA Folding and Stacking